Question

How do you rationalize the denominator and simplify `10/root3(7)`?

Answer 1

`10/7root(3)(49)`

Explanation:

`10/root(3)(7)`

`color(white)("XXX")=10/root(3)(7)*root(3)(7)/root(3)(7)*root(3)(7)/(root(3)(7)`

`color(white)("XXX")=(10(root(3)(7))^2)/((root(3)(7))^3)`

`color(white)("XXX")=(10(root(3)(7^2)))/(7)`

`color(white)("XXX")=(10(root(3)(49)))/7`